Theorem: A line parallel to one side of a triangle divides the other two proportionately. Which statement can be proved true using the given theorem? (6 points)

Select one:
a. Segment BF = 9
b. Segment BD = 18
c. Segment BD = 20
d. Segment BF = 24

c

Step-by-step explanation:

C. BD= 20

Use similar triangles to write a proportion and then cross multiply to solve.

AE: AC = AD:AB

(ONCE YOU KNOW AB YOU CAN SUBTRACT AD FROM AB TO GET BD =20)

So, 15:40 = 12: AB=32.  now 32-12 = 20 so BD = 20

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1